兰姆波传播及缺陷相互作用问题的边界元法研究

2019 14th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA) Pub Date : 2019-11-01 DOI:10.1109/SPAWDA48812.2019.9019221

Xianhui Wang, Yu-jian Liu, Jiangong Yu, Hui Qiao

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引用次数: 0

摘要

兰姆波传播和缺陷相互作用的控制方程是弹性动力学中的波动方程。边界元法是求解无限域散射问题的理想选择。根据轮廓积分定理，得到了有限部分奇异积分的解析表达式。本文对二维弹性动力学常元边界元的强奇异边界积分方程进行了解析积分。当用常元对边界进行离散化时，所有的奇异积分和强积分都可以是有限部分意义上的解析求值。轮廓积分用于求解奇异积分和强积分。数值算例验证了所提公式的有效性。

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Study of Boundary Element Method for Lamb Wave Propagation and Defect Interaction Problems

The governing equation of Lamb wave propagation and defect interaction is the wave equation in elastodynamics. The boundary element method (BEM) is suitable choice to solve scattering problems in infinite domain. Based on the Contour integral theorem, analytical expressions of singular integral were obtained in in finite part. In this paper, analytical integration of strongly singular boundary integrals equations with constant element for 2D elastodynamics BEM with constant elements. All the singular and strongly integrals can be analytical evaluation in finite part sense when the constant elements are applied to discretize the boundary. The contour integral is used to solve the singular and strongly integrals. The validity of the presented formulas has been demonstrated by the numerical examples.

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2019 14th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA)

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